What is 12.8 converted to a fraction? The answer should be given in simplest form

Answer 1

To convert 12.8 into a fraction, we can recognize that .8 is the same as 8/10 or 4/5. Thus, we can write 12.8 as 12 + 4/5.

Then, the next step is to convert the whole number part, 12, into a fraction. Since 12 is equivalent to 12/1, we can rewrite the expression as (12/1) + 4/5.

To add the two fractions together, we need a common denominator. The least common denominator of 1 and 5 is 5.

Therefore, we need to rewrite 12/1 as an equivalent fraction with a denominator of 5. Multiplying the numerator and denominator of 12/1 by 5, we have (12 * 5)/(1 * 5), which equals 60/5.

Now, we can add the two fractions: (60/5) + (4/5) = (60 + 4)/5 = 64/5.

The fraction 12.8 is equivalent to 64/5 in simplest form.